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Importance of fluid inertia for the orientation of spheroids settling in turbulent flow

Published online by Cambridge University Press:  10 January 2020

Muhammad Zubair Sheikh Open the ORCID record for Muhammad Zubair Sheikh [Opens in a new window] ,
Kristian Gustavsson Open the ORCID record for Kristian Gustavsson [Opens in a new window] ,
Diego Lopez Open the ORCID record for Diego Lopez [Opens in a new window] ,
Emmanuel Lévêque Open the ORCID record for Emmanuel Lévêque [Opens in a new window] ,
Bernhard Mehlig Open the ORCID record for Bernhard Mehlig [Opens in a new window] ,
Alain Pumir Open the ORCID record for Alain Pumir [Opens in a new window]  and
Aurore Naso Open the ORCID record for Aurore Naso [Opens in a new window]
Muhammad Zubair Sheikh
Affiliation:
Université de Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, 69342Lyon, France Department of Mechanical Engineering, University of Engineering and Technology, Lahore-54890, Pakistan
Kristian Gustavsson
Affiliation:
Department of Physics, Gothenburg University, 41296Gothenburg, Sweden
Diego Lopez
Affiliation:
Université de Lyon, Ecole Centrale de Lyon, Université Claude Bernard, CNRS, INSA de Lyon, Laboratoire de Mécanique des Fluides et d’Acoustique, 69134Écully, France
Emmanuel Lévêque
Affiliation:
Université de Lyon, Ecole Centrale de Lyon, Université Claude Bernard, CNRS, INSA de Lyon, Laboratoire de Mécanique des Fluides et d’Acoustique, 69134Écully, France
Bernhard Mehlig
Affiliation:
Department of Physics, Gothenburg University, 41296Gothenburg, Sweden
Alain Pumir
Affiliation:
Université de Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Laboratoire de Physique, 69342Lyon, France
Aurore Naso*
Affiliation:
Université de Lyon, Ecole Centrale de Lyon, Université Claude Bernard, CNRS, INSA de Lyon, Laboratoire de Mécanique des Fluides et d’Acoustique, 69134Écully, France
*
†Email address for correspondence: [email protected]
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Abstract

How non-spherical particles orient as they settle in a flow has important practical implications in a number of scientific and engineering problems. In a quiescent fluid, a slowly settling particle orients so that it settles with its broad side first. This is an effect of the torque due to convective inertia of the fluid that is set in motion by the settling particle, which maximises the drag experienced by the particle. Turbulent fluid-velocity gradients, on the other hand, tend to randomise the particle orientation. Recently the settling of non-spherical particles in turbulence was analysed neglecting the effect of convective fluid inertia, but taking into account the effect of the turbulent fluid-velocity gradients on the particle orientation. These studies reached the opposite conclusion, namely that the particle tends to settle with its narrow edge first, therefore minimising the drag on the particle. Here, we consider both effects, the convective inertial torque as well as the torque due to fluctuating fluid-velocity gradients. We ask under which circumstances either one or the other dominates. To this end we estimate the ratio of the magnitudes of the two torques. Our estimates suggest that the fluid-inertia torque prevails in high-Reynolds-number flows. In this case non-spherical particles tend to settle with orientations maximising drag. But when the Reynolds number is small, then the torque due to fluid-velocity gradients may dominate, causing the particle to settle with its narrow edge first, minimising the drag.

JFM classification

Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 886 , 10 March 2020 , A9
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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